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We present an improved, near-optimal error estimate for a
non-conforming finite element method, called the mortar method (M0). We
also present a new mortaring technique, called the mortar method (MP),
and derive , and error estimates for it, in the presence of
quasiuniform and non-quasiuniform meshes. Our theoretical results,
augmented by the computational evidence we present, show that like (M0), (MP)
is also a viable mortaring technique for the method.
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